Question

A circle with center O is shown. Create the equation for the circle.​

Answer 1

Answer:(x-1)^2 + (y-1)^2=16

Explanation:

Answer 2

(5 - 1)^2 + (1 - 1)^2 = 4^2

Explanation:

Circle equation: ( x - h )^2 + ( y - k )^2 = r^2

(h,K) is the coordinate of the center.

Center: (1,1)

(x,y) choose a point that could be the radius. (I choose the one on the top left side).

Point: (5,1)

Diameter: 8

Radius: 4

Plug in:

( x - h )^2 + ( y - k )^2 = r^2

(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)

Solve to see if it's true,

(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)

4^2 + 0^2 = 4^2

16 = 16 (This is true, therefore, the equation is correct).